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233131412115030 = 2351113496910936403
BaseRepresentation
bin110101000000100000100011…
…000000010100111001010110
31010120110010220221200012210010
4311000200203000110321112
5221024111113000140110
62143455031525541050
7100051121502556662
oct6500404300247126
91116403827605703
10233131412115030
1168312527463120
122219251a274786
13a011275833770
14417d898b198a2
151be443a3aa020
hexd40823014e56

233131412115030 has 128 divisors (see below), whose sum is σ = 657465111636480. Its totient is φ = 52158763330560.

The previous prime is 233131412114999. The next prime is 233131412115047. The reversal of 233131412115030 is 30511214131332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15848809 + ... + 26785211.

It is an arithmetic number, because the mean of its divisors is an integer number (5136446184660).

Almost surely, 2233131412115030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233131412115030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328732555818240).

233131412115030 is an abundant number, since it is smaller than the sum of its proper divisors (424333699521450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233131412115030 is a wasteful number, since it uses less digits than its factorization.

233131412115030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941406.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 233131412115030 its reverse (30511214131332), we get a palindrome (263642626246362).

The spelling of 233131412115030 in words is "two hundred thirty-three trillion, one hundred thirty-one billion, four hundred twelve million, one hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 4969 9938 14907 24845 29814 49690 54659 64597 74535 109318 129194 149070 163977 193791 273295 322985 327954 387582 546590 645970 710567 819885 968955 1421134 1639770 1937910 2131701 3552835 4263402 7105670 10658505 10936403 21317010 21872806 32809209 54682015 65618418 109364030 120300433 142173239 164046045 240600866 284346478 328092090 360901299 426519717 601502165 710866195 721802598 853039434 1203004330 1421732390 1563905629 1804506495 2132598585 3127811258 3609012990 4265197170 4691716887 7819528145 9383433774 15639056290 23458584435 46917168870 54342986507 108685973014 163028959521 271714932535 326057919042 543429865070 597772851577 706458824591 815144797605 1195545703154 1412917649182 1630289595210 1793318554731 2119376473773 2988864257885 3532294122955 3586637109462 4238752947546 5977728515770 7064588245910 7771047070501 8966592773655 10596882368865 15542094141002 17933185547310 21193764737730 23313141211503 38855235352505 46626282423006 77710470705010 116565706057515 233131412115030